Let T ∈ B(H) be a bounded linear operator on a Hilbert space H, and let T = U|T| be its polar decomposition. Then, for every λ ∈ [0, 1] the λ-Aluthge transform of T is defined by ∆ λ (T) = |T| λ U|T| 1−λ. In this paper, we characterize the invertible, binormal, and EP operators and its intersection with a special class of introduced operators via the λ-Aluthge transform